We use a formulation of Noether's theorem for contact Hamiltonian systems to derive a relation between the thermodynamic entropy and the Noether invariant associated with time-translational symmetry. In the particular case of thermostatted systems at equilibrium, we show that the total entropy of the system plus the reservoir are conserved as a consequence thereof. Our results contribute to understanding thermodynamic entropy from a geometric point of view.
Thermodynamic Entropy as a Noether Invariant from Contact Geometry
Bravetti A.
Primo
;
2023-01-01
Abstract
We use a formulation of Noether's theorem for contact Hamiltonian systems to derive a relation between the thermodynamic entropy and the Noether invariant associated with time-translational symmetry. In the particular case of thermostatted systems at equilibrium, we show that the total entropy of the system plus the reservoir are conserved as a consequence thereof. Our results contribute to understanding thermodynamic entropy from a geometric point of view.File in questo prodotto:
File | Dimensione | Formato | |
---|---|---|---|
entropy-25-01082.pdf
accesso aperto
Tipologia:
Versione Editoriale
Licenza:
PUBBLICO - Creative Commons
Dimensione
278.12 kB
Formato
Adobe PDF
|
278.12 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.